<p>The following equations are represented in the HTML source code as LaTeX expressions.</p>

<h1>The Cauchy-Schwarz Inequality</h1>

<p><span class="math-tex">\( \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \)</span></p>

<h1>The probability of getting <span class="math-tex">\(k\)</span> heads when flipping <span class="math-tex">\(n\)</span> coins is</h1>

<p><span class="math-tex">\(P(E) = {n \choose k} p^k (1-p)^{ n-k} \)</span></p>

<p>Finally, while displaying equations is useful for demonstration purposes, the ability to mix math and text in a paragraph is also important. This expression <span class="math-tex">\(\sqrt{3x-1}+(1+x)^2\)</span> is an example of an inline equation. As you see, MathJax equations can be used this way as well, without disturbing the spacing between the lines.</p>

<p>Um <strong>texto</strong> qualquer: L&aacute; l&aacute; l&eacute; li. Ra&ccedil;&atilde;o de cachorro com ling&uuml;i&ccedil;&atilde;o.</p>

<p><span class="math-tex">\(\mathbf{V}_1 \times \mathbf{V}_2 =  \begin{vmatrix}
\mathbf{i} &amp; \mathbf{j} &amp; \mathbf{k} \\
\frac{\partial X}{\partial u} &amp;  \frac{\partial Y}{\partial u} &amp; 0 \\
\frac{\partial X}{\partial v} &amp;  \frac{\partial Y}{\partial v} &amp; 0
\end{vmatrix}\)</span></p>

